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sergey [27]
1 year ago
14

What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.

Mathematics
2 answers:
Sholpan [36]1 year ago
6 0
Transpose all the terms in the left hand side of the equation. The equation then becomes,
                         8x²  - 22x - 6 =0
Divide both sides of the equation by 2,
                        4x² - 11x - 3 = 0 

In this equation, A = 4, B = -11, and C = -3

With the variables identified, the quadratic equation can be used to identify the roots,
                         x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
                        <em> x = 3 and x = -1/4
</em>
<em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
</em>
bogdanovich [222]1 year ago
6 0

Answer:

b and c

Step-by-step explanation:

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A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his brea
Novosadov [1.4K]
The answer is 141.35 ft²

Before the first break, it was painted:
150 ft² ÷ 2 = 75 ft²
Now it's left:
150 ft² - 75 ft² = 75 <span>ft²

Before the second break, it was painted:
75 </span>ft² ÷ 2 = 37.5 <span>ft²
Now it's left:
75 </span>ft² - 37.5 ft² = 37.5 <span>ft²

Before the third break, it was painted:
37.5 </span>ft² ÷ 2 = 18.75 <span>ft²
</span><span>Now it's left:
</span>37.5 ft² - 18.75 ft² = 18.75 <span>ft²
</span>
<span>Before the fourth break, it was painted:
</span>18.75 ft² ÷ 2 = 9.375 <span>ft²
</span><span>Now it's left:
</span>18.75 ft² - 9.375 ft² = 9.375 <span>ft²
</span>
<span>Before the fourth break, it was painted:
</span>9.375 ft² ÷ 2 = 4.6875 <span>ft²
</span><span>Now it's left:
</span>9.375 ft² - 4.6875 ft² = 4.6875 ft²

Now, we will sum what he painted for now:
75 ft² + 37.5 ft² + 18.75 ft² + 9.375 ft² 4.6875 ft² = 141.3125 ft² ≈ 141.35 ft²

When the painter takes his fifth break, there will be <span>141.35 ft² of the wall painted.</span>
6 0
1 year ago
Read 2 more answers
Between 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years. Based on this information, and
forsale [732]

Answer:

a) P(x) = 0.67

b)  P(y) = 0.67

c) P(x=4) = 0.3325

d) P( x = 0 ) = 0.0039

e) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent

Step-by-step explanation:

A) The probability that the stock market will rise next year = P(x) = 0.67

assuming next year to be X

B) Probability that the stock market will rise the year after next year

= P(y) = 0.67 and this is because the probability is independent of that of the previous years

C) Probability that the stock market will rise in four of the next five years

= P(x=4) = 0.3325

D) probability that the stock market will rise in none of the next five years

= P( x = 0 ) = 0.0039

E) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent

4 0
2 years ago
Sandra enters a pumpkin growing contest each year. Currently, her pumpkin measures 36 inches in circumference. Using data from p
Arturiano [62]
Hi there.

Using process of elimination & some logic, I believe the answer is:

C) starting size of the pumpkin

I hope this turned out right!

~
5 0
1 year ago
Read 2 more answers
A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting
Soloha48 [4]

Answer:

Therefore the only statement that is not true is b.)

Step-by-step explanation:

There employees are 6 secretaries, 5 consultants and 4 partners in the firm.

a.) The probability that a secretary wins in the first draw

= \frac{number \hspace{0.1cm} of \hspace{0.1cm} secreataries}{total \hspace{0.1cm} number \hspace{0.1cm} of \hspace{0.1cm} employees}  = \frac{6}{15}

b.) The probability that a secretary wins a ticket on second draw.  It has been given that a ticket was won on the first draw by a consultant.

p(secretary wins on second draw | consultant  wins on first draw)

=\frac{p((consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)\cap( secretary\hspace{0.1cm} wins\hspace{0.1cm} on second \hspace{0.1cm}draw))}{p(consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)}

= \frac{\frac{5}{15}  \times \frac{6}{14}}{\frac{5}{15} }  = \frac{6}{14}  .

The probability that  a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw  = \frac{6}{15} is not true.

The probability that a secretary wins on the second draw  = \frac{number \hspace{0.1cm} of  \hspace{0.1cm} secretaries  \hspace{0.1cm} remaining } { number  \hspace{0.1cm} of  \hspace{0.1cm} employees  \hspace{0.1cm} remaining}  = \frac{6 - 1}{15 - 1}  = \frac{5}{14}

c.) The probability that a consultant wins on the first draw  =

\frac{number \hspace{0.1cm} of  \hspace{0.1cm} consultants  \hspace{0.1cm}  } { number  \hspace{0.1cm} of  \hspace{0.1cm} employees  \hspace{0.1cm} }  = \frac{5 }{15}  = \frac{1}{3}

d.) The probability of two secretaries winning both tickets

= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)

= \frac{6}{15}  \times \frac{5}{14}  = \frac{1}{7}

Therefore the only statement that is not true is b.)

5 0
2 years ago
Mahalia is making cloth napkins. She bought fabric that is 12 inches wide and 6 yards long. How much napkins can Mahalia make if
In-s [12.5K]
She can make 72
Find the area of the fabric 12x6=72
Area of napkins 1x1 =1
divide fabric by napkins
72/1=72 napkins can be made
8 0
2 years ago
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